if you add in that 0 or 00 lube.. which is what many lawn products dealer sell, that will be fine.
it will soften the #2 grease up and make a slurry.
just keep topping the 00/2 off with 00 and you should be good.
will matter not if ther eis still a slug of #2 against the wall taking up space. that might actually HELP seal the leacky sector seals and keep the 00 grease right around the ballnut where it should be.
just top her off now and then and she should be good.